Abstract:
The paper deals with the game problem of approach of a nonlinear control system with a target set at a fixed terminal time. The key property of stability and stable bridges is investigated in the posed positional differential game. The scheme for approximate calculation of the maximum $u$-stable bridge is proposed in the target approach problem, and the correctness of the construction is justified.
Keywords:control system, differential inclusion, game problem of target approach, $u$-stable bridge, $u$-stable path, fixed terminal time, approximating system of sets.
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